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A, B, C are three positive numbers. Which is the greatest number

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A, B, C are three positive numbers. Which is the greatest number  [#permalink]

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New post 17 Mar 2018, 00:33
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

58% (01:30) correct 42% (01:28) wrong based on 47 sessions

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A, B, C are three positive numbers. Which is the greatest number among A, B, C?

(1) A*B > B*C > C*A

(2) 1/C > 1/A > 1/B
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A, B, C are three positive numbers. Which is the greatest number  [#permalink]

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New post 17 Mar 2018, 05:43
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amanvermagmat wrote:
A, B, C are three positive numbers. Which is the greatest number among A, B, C?

(1) A*B > B*C > C*A

(2) 1/C > 1/A > 1/B


Statement 1: \(A*B > B*C => A>C\) and \(B*C > C*A => B>A\)

Therefore \(B>A>C\). Sufficient

Statement 2: \(\frac{1}{C}>\frac{1}{A} =>A>C\) AND \(\frac{1}{A}>\frac{1}{B} => B>A\)

Therefore \(B>A>C\). Sufficient

Option D
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Re: A, B, C are three positive numbers. Which is the greatest number  [#permalink]

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New post 20 Mar 2018, 01:22
amanvermagmat wrote:
A, B, C are three positive numbers. Which is the greatest number among A, B, C?

(1) A*B > B*C > C*A

(2) 1/C > 1/A > 1/B




Experts pls advice if i am on correct line of understanding.

for 1. A*B > B*C > C*A

case I :
Considering, A : 3 , B : 2, C : 1

we get, 3/2 , 2/1 , 1/3
1.5, 2, 0.33

case II :
Considering, A : 6 , B : 2, C : 1

we get, 6/2 , 2/1 , 1/6
3 2 0.16

both situations provide a different answer, so how can statement (1) be sufficient in itself??

imo answer must be B.

experts and friends pls revert
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Re: A, B, C are three positive numbers. Which is the greatest number  [#permalink]

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New post 20 Mar 2018, 05:52
GMAT215 wrote:
amanvermagmat wrote:
A, B, C are three positive numbers. Which is the greatest number among A, B, C?

(1) A*B > B*C > C*A

(2) 1/C > 1/A > 1/B




Experts pls advice if i am on correct line of understanding.

for 1. A*B > B*C > C*A

case I :
Considering, A : 3 , B : 2, C : 1

we get, 3/2 , 2/1 , 1/3
1.5, 2, 0.33

case II :
Considering, A : 6 , B : 2, C : 1

we get, 6/2 , 2/1 , 1/6
3 2 0.16

both situations provide a different answer, so how can statement (1) be sufficient in itself??

imo answer must be B.

experts and friends pls revert



Hello

You are dividing, As per the first statement you are supposed to multiply not divide.
GMAT Club Bot
Re: A, B, C are three positive numbers. Which is the greatest number   [#permalink] 20 Mar 2018, 05:52
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A, B, C are three positive numbers. Which is the greatest number

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